A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2009; you can also visit the original URL.
The file type is application/pdf.
Filters
Positive-Definite and Monotonic Limiters for Unrestricted-Time-Step Transport Schemes
2006
Monthly Weather Review
Preserved Fulltext
General positive-definite and monotonic limiters are described for use with unrestricted-Courant-number flux-form transport schemes. ...
These limiters are tested using a time-split multidimensional transport scheme. ...
FIG. 4 . 4 Results for the positive-definite limiter for Courant numbers (a) Cr max ϭ 1 and (b) Cr max ϭ 4. ...
doi:10.1175/mwr3170.1
fatcat:kvocgv5difa7zbqauizrh4vv24
A numerical method for solving a scalar advection-dominated transport equation with concentration-dependent sources
2003
Computers and Chemical Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
A numerical scheme, upstream biased Eulerian algorithm for transport equations with sources (UpBEATES), is developed for solving a scalar advective-dominated transport equation with concentration-independent ...
The proposed scheme is mass-conservative, produces non-negative concentration values, exhibits low numerical dispersion, and is efficient for advection-dominated problems with concentration-dependent source ...
We thank Kevin Chen for recommending the Bott's scheme, and for introducing the FCT literature to us. ...
doi:10.1016/s0098-1354(03)00008-5
fatcat:arnsnkkauna4latar6wyn5s4ty
Design and experiments of a new positive-definite renormalization scheme for advection-diffusion differential equation
2012
Wuli xuebao
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
Experiments of point-source advectiondiffusion show that the new renormalization scheme not only solves the positive-definite problem of advection-diffusion differential equation, but also keeps the property ...
Total mass conservation is a basic property of advection-diffusion differential equation. ...
Design and experiments of a new positive-definite renormalization scheme for advection-diffusion differential equation * , . k∇ 2 µφ, k . ...
doi:10.7498/aps.61.039204
fatcat:5jzim6g34jcyno6f73aq2fjysa
Stabilized element residual method (SERM): A posteriori error estimation for the advection-diffusion equation
1996
Journal of Computational and Applied Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Residual-based a posteriori error estimation techniques have been developed for linear elliptic symmetric positive-definite problems. ...
This technique is extended to the unsymmetric and positive semi-definite advection-diffusion (AD) operator. Here, a novel approach, the Stabilized Element Residual Method (SERM) is presented. ...
While numerous authors have considered a posteriori error estimates for linear, elliptic, self-adjoint and positive-definite problems, the AD equation has received limited treatment. ...
doi:10.1016/0377-0427(96)00014-3
fatcat:oxbndpjeyng7lhb7oyussbrsry
Technical Note: Adjoint formulation of the TOMCAT atmospheric transport scheme in the Eulerian backtracking framework (RETRO-TOM)
2014
Atmospheric Chemistry and Physics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
These demonstrate the high accuracy of RETRO-TOM when compared with direct forward sensitivity calculations, at least for problems in which flux limiters in the advection scheme are not required. ...
</strong> A new methodology for the formulation of an adjoint to the transport component of the chemistry transport model TOMCAT is described and implemented in a new model, RETRO-TOM. ...
Given our definition (see comment 2) our statement that "accurate adjoint calculations are rendered near-impossible by advective nonlinearities such as flux limiters" is correct. ...
doi:10.5194/acp-14-5477-2014
fatcat:ekhrsqqxkjgu5ezynqylda5br4
A second-order realizable scheme for moment advection on unstructured grids
2019
Computer Physics Communications
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
"A second-order realizable scheme for moment advection on unstructured grids Abstract The second-order realizable moment advection scheme developed in Laurent and Nguyen (2017) is extended to the case ...
Chemical Engineering | Physics Comments Comments This is a manuscript of an article published as Passalacqua, Alberto, Frédérique Laurent, and Rodney O. Fox. ...
The definition of the limiter function for a minmod limiter is [66, 71] : ℒ( f ) = max(0, min(1, f )). (4.3) The evaluation of the gradient of over the cell C in Eq. (4.2) is detailed in Darwish and Moukalled ...
doi:10.1016/j.cpc.2019.106993
fatcat:sgw2pp2gljhlhj2dcl5y223uiq
Monotonicity, positivity and strong stability of the TR-BDF2 method and of its SSP extensions
[article]
2015
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
The results show that both strategies provide a good compromise between accuracy and robustness at high CFL numbers, without suffering from the limitations of alternative approaches already available in ...
We analyze the one-step method TR-BDF2 from the point of view of monotonicity, strong stability and positivity. ...
The range of the test cases covers a reactive zero dimensional test problem, here adapted to the MPRK method, a one dimensional advection problem, an advection diffusion reaction problem for a mixture ...
arXiv:1510.04303v1
fatcat:24khb3zkfvd6nezg47m3ma2odu
The non-monotonicity of the KPP speed with respect to diffusion in the presence of a shear flow
2013
Proceedings of the American Mathematical Society
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
For the sake of completeness, we announce our results in a setting which allows domains with periodic perforations that may or may not be equal to the whole space R N . ...
In this paper, we prove via counterexamples that adding an advection term of the form Shear flow (whose streamlines are parallel to the direction of propagation) to a reaction-diffusion equation will be ...
The author would also like to thank him for his valuable, fruitful and precise suggestions while reading a preprint of this work. ...
doi:10.1090/s0002-9939-2013-11728-4
fatcat:zms6uvuaifcb7hetlhprzjyaca
A Lagrangian Advection Scheme Using Tracer Points
1997
ATMOSPHERE-OCEAN
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2010; you can also visit the original URL.
The file type is application/pdf.
As it is intended to use the FPIC scheme for advection of water vapour and liquid water in a GCM, a test of advection of a positive definite, sharply varying, passive tracer in the shallow water mode1 ...
Furthermore, the scheme is positive dejïnite. The most serious limitation of the scheme is that if demands more memory than traditional schemes. ...
Acknowledgements The work presented in this paper was carried out within a joint Nordic CLimate Modelling Project, NOCLIMP, funded by the Nordic Council of Ministers (project number FS/ULF/93002). ...
doi:10.1080/07055900.1997.9687347
fatcat:l64ghd2f4zbbve5beer2ed2jtq
Material barriers to diffusive and stochastic transport
2018
Proceedings of the National Academy of Sciences of the United States of America
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Even in the limit of vanishing diffusivity, these surfaces differ from all previously identified coherent structures for purely advective fluid transport. ...
We seek transport barriers and transport enhancers as material surfaces across which the transport of diffusive tracers is minimal or maximal in a general, unsteady flow. ...
x0) of the positive definite tensorCD(x0). ...
doi:10.1073/pnas.1720177115
pmid:30150387
fatcat:wfjyt4tplvgkzjbezt56ok5fsq
Finite difference TVD scheme for modeling two-dimensional advection-dispersion
[chapter]
2004
Environmental Hydraulics and Sustainable Water Management, Two Volume Set
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Both the numerical tests and model application show that the TVD schemes are very competent for solving the advection-dominated transport problems. ...
Due to various limiters owning different features, the numerical tests for 1D pure advection and 2D dispersion are conducted to evaluate the performance of different TVD schemes firstly, then the TVD schemes ...
defined as i max[0, min(2, 2r), 0.5(1 r)] φ = + (10) These limiters are considerably simple; as a result, they are often used for solving the advection problems. ...
doi:10.1201/b16814-83
fatcat:n6tk4phigbfcrp2y5epb4mlmtm
On finite element method–flux corrected transport stabilization for advection–diffusion problems in a partial differential–algebraic framework
2014
Journal of Computational and Applied Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Numerical results are presented for nonconstant and time-dependent boundary conditions in one space dimension and for a two-dimensional advection problem where the advection proceeds skew to the mesh. ...
Given a local extremum diminishing property of the spatial discretization, the positivity preservation of the one-step θ−scheme when applied to the time integration of the resulting differentialalgebraic ...
Moreover, we are grateful to Matthias Möller for helpful discussions and hints on the FEM-FCT scheme. ...
doi:10.1016/j.cam.2013.09.070
fatcat:u2blj7m6jzch7ixohqi6qgiyte
Polynomial Level-Set Method for Polynomial System Reachable Set Estimation
2013
IEEE Transactions on Automatic Control
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2015; you can also visit the original URL.
The file type is application/pdf.
The problem of flowing these sets under the advection map of a dynamical system is converted to a semi-definite program, which is then used to compute the coefficients of the polynomials. ...
In this paper, we present a polynomial level-set method for advecting a semi-algebraic set for polynomial systems. This method uses the sub-level representation of sets. ...
Suppose there exists a positively definite matrix , and that solve the following optimization problem Then gives the best quadratic fitting of in the sense of relative radial error. Proof: Clearly . ...
doi:10.1109/tac.2013.2263916
fatcat:zmlevb7plvgxxnpxglhwpiglhi
The multidimensional positive definite advection transport algorithm: nonoscillatory option
1990
Journal of Computational Physics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
In responding to such practical needs, we present an option of the multidimensional positive definite advection transport algorithm (hereinafter, MPDATA) which strictly preserves the local monotone character ...
In a number of applications, monotonicity preservation becomes a necessary property of the advection scheme. ...
The nonoscillatory option of the multidimensional positive definite advection transport algorithm (MPDATA) was presented. ...
doi:10.1016/0021-9991(90)90105-a
fatcat:mryrbj524rg4fbcbfxk5xsv5k4
The non-monotonicity of the KPP speed with respect to diffusion in the presence of a shear flow
[article]
2011
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Other Versions
For the sake of completeness, we announce our results in a setting which allows domains with periodic perforations that may or may not be equal to the whole space R^N. ...
In this paper, we prove via counterexamples that adding an advection term of the form Shear flow (whose streamlines are parallel to the direction of propagation) to a reaction-diffusion equation will be ...
Also, I would like to thank him for his valuable, fruitful and precise suggestions while reading a preprint of this work. ...
arXiv:1103.0052v2
fatcat:ulgtdavuqvbn7kbb4sf6mx4pru
« Previous
Showing results 1 — 15 out of 43,180 results